Entanglement Structure of Current-Driven Diffusive Fermion Systems
Entanglement Structure of Current-Driven Diffusive Fermion Systems
复制标题
电流驱动扩散费米子系统的纠缠结构
DOI：
10.1103/physrevx.9.021007
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发表时间：
2018
影响因子：
12.5
通讯作者：
D. Huse
中科院分区：
文献类型：
--
作者：
M. Gullans;D. Huse
当扩展系统在其相对边界处耦合到不同温度或化学势的两个储库时，它无法实现全局热平衡，而是被驱动到一组载流非平衡状态。尽管这种情况与金属系统具有广泛的相关性，但对由此产生的长时间状态的纠缠结构的研究仍然有限，部分原因是解决无序相互作用电子的现实模型存在根本困难。我们通过仔细分析两个用于扩散费米子相干量子传输的“玩具”模型来研究这个问题：著名的三维非相互作用安德森模型和一类作用于量子比特链的随机量子电路，它准确地映射到扩散相互作用费米子问题。至关重要的是，随机电路模型也可以调整为费米子之间没有相互作用，类似于安德森模型。我们表明，对于我们的随机电路模型和安德森模型的非平衡稳态，驱动非相互作用费米子的长期状态表现出体积定律互信息和纠缠。通过相互作用，随机电路模型是量子混沌的并且接近局部平衡，仅存在短程纠缠。这些结果为电流驱动的量子混沌系统中局部平衡的出现提供了一般图景，并且还提供了稳定的、高度纠缠的脱离平衡的多体态的例子。我们讨论了在低温介观线或超冷原子气体中探测这些效应的实验技术。
When an extended system is coupled at its opposite boundaries to two reservoirs at different temperatures or chemical potentials, it cannot achieve a global thermal equilibrium and is instead driven to a set of current-carrying nonequilibrium states. Despite the broad relevance of such a scenario to metallic systems, there have been limited investigations of the entanglement structure of the resulting long-time states, in part, due to the fundamental difficulty in solving realistic models for disordered, interacting electrons. We investigate this problem by carefully analyzing two "toy" models for coherent quantum transport of diffusive fermions: the celebrated three-dimensional, noninteracting Anderson model and a class of random quantum circuits acting on a chain of qubits, which exactly maps to a diffusive, interacting fermion problem. Crucially, the random circuit model can also be tuned to have no interactions between the fermions, similar to the Anderson model. We show that the long-time states of driven noninteracting fermions exhibit volume-law mutual information and entanglement, both for our random circuit model and for the nonequilibrium steady-state of the Anderson model. With interactions, the random circuit model is quantum chaotic and approaches local equilibrium, with only short-range entanglement. These results provide a generic picture for the emergence of local equilibrium in current-driven quantum-chaotic systems, and also provide examples of stable, highly-entangled many-body states out of equilibrium. We discuss experimental techniques to probe these effects in low-temperature mesoscopic wires or ultracold atomic gases.
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影响因子：
2.8
作者：
Hoogeveen M
通讯作者：
Hoogeveen M
影响因子：
5.4
作者：
Gharibyan, Hrant;Hanada, Masanori;Tezuka, Masaki
通讯作者：
Tezuka, Masaki
边界驱动的量子自旋链中的电流波动
影响因子：
3.7
作者：
Carollo F
通讯作者：
Carollo F
影响因子：
12.5
作者：
Nahum, Adam;Vijay, Sagar;Haah, Jeongwan
通讯作者：
Haah, Jeongwan
算子和状态纠缠的粗粒度动力学
DOI：
10.48550/arxiv.1803.00089
发表时间：
2018
期刊：
arXiv e-prints
影响因子：
--
作者：
Jonay Cheryne
通讯作者：
Jonay Cheryne